Experimental active spike responses of analog electrical neuron: beyond “integrate-and-fire-transmission
详细信息    查看全文
  • 作者:Aurélien Serge Tchakoutio Nguetcho ; Stéphane Binczak…
  • 关键词:FitzHugh–Nagumo model ; Phase portrait ; Nonlinear electrical circuit ; Electrical neuron ; Electrical pulse stimulation ; Interspike interval ; Spikes response ; Transmission coefficient
  • 刊名:Nonlinear Dynamics
  • 出版年:2015
  • 出版时间:November 2015
  • 年:2015
  • 卷:82
  • 期:3
  • 页码:1595-1604
  • 全文大小:1,473 KB
  • 参考文献:1.Llinas, R.: I of the Vortex: From Neurons to Self. MIT Press, Massachusets (2001)
    2.Sugihara, I., Lang, E.J., Llinas, R.: Uniform olivocerebellar conduction time underlies Purkinje cell complex spike synchronicity in the rat cerebellum. J. Physiol. 470, 43-71 (1993)CrossRef
    3.Leznik, E., Makarenko, V., Llinas, R.: Electrotonically mediated oscillatory patterns in neuronal ensembles: an in vitro voltage-dependent dye-imaging study in the inferior olive. J. Neurosci. 22, 2804-815 (2002)
    4.Suter, K.J., Jaeger, D.: Reliable control of spike rate and spike timing by rapid input transients in cerebellar stellate cells. J. Neurosci. 124, 305-17 (2004)CrossRef
    5.Henze, D.A., Buzsáki, G.: Single cell contributions to network activity in the hippocampus. Int. Congr. Ser. 1250, 161-81 (2003)CrossRef
    6.Magee, J.C.: A prominent role for intrinsic neuronal properties in temporal coding. Trends Neurosci. 26, 14-6 (2003)CrossRef
    7.Melamed, O., Gerstner, W., Maass, W., Tsodyks, M., Markram, H.: Coding and learning of behavioral sequences. Trends Neurosci. 27(1), 11-3 (2004)CrossRef
    8.Nowotny, T., Zhigulin, V.P., Selverston, A.I., Abarbanel, H.D.I., Rabinovich, M.I.: Enhancement of synchronization in a hybrid neural circuit by spike-timing dependent plasticity. J. Neurosci. 23, 9776-785 (2003)
    9.Brenner, N., Strong, S.P., Koberle, R.: Synergy in a neural code. Neural Comput. 12, 1531-552 (2000)CrossRef
    10.Panchev, C., Wermter, S.: Processing with active dendrites and dynamic synapses. Neurocomputing 58, 365-71 (2004)CrossRef
    11.Izhikevich, E.M., Desai, N.S., Walcott, E.C., Hoppensteadt, F.C.: Bursts as a unit of neural information: selective communication via resonance. Trends Neurosci. 26(3), 161-67 (2003)CrossRef
    12.Izhikevich, E.M.: Resonate-and-fire neurons. Neural Netw. 14, 883-94 (2001)CrossRef
    13.Kazantsev, V.B.: Selective communication and information processing by excitable systems. Phys. Rev. E 64, 056210 (2001)CrossRef
    14.Glass, L., Mackey, M.C.: From Clocks to Chaos: The Rhythms of Life. Princeton University Press, Princeton (1988)MATH
    15.Glass, L.: Synchronization and rhythmic processes in physiology. Nature 410, 277-84 (2001)CrossRef
    16.Aviel, Y., Pavlov, E., Abeles, M., Horn, D.: Synfire chains in a balanced network. Neurocomputing 44, 285-92 (2002)CrossRef
    17.Vogels, T.P., Rajan, K., Abbott, L.F.: Neural network dynamics. Annu. Rev. Neurosci. 28, 357-76 (2005)CrossRef
    18.Schrader, S., Grün, S., Diesmann, M., Gerstein, G.L.: Detecting synfire chain activity using massively parallel spike train recording. J. Neurophysiol. 100, 2165-176 (2008)CrossRef
    19.Kazantsev, V.B., Tchakoutio Nguetcho, A.S., Jacquir, S., Binczak, S., Bilbault, J.M.: Active spike transmission in the neuron model with a winding threshold manifold. Neurocomputing 83, 205-11 (2012)CrossRef
    20.Dahasert, N., ?ztürk, I., Kili?, R.: Experimental realizations of the HR neuron model with programmable hardware and synchronization applications. Nonlinear Dyn. 70, 2343-358 (2012)CrossRef
    21.Wu, X., Ma, J., Yuan, L., Liu, Y.: Simulating electric activities of neurons by using PSPICE. Nonlinear Dyn. 75, 113-26 (2014)MathSciNet CrossRef
    22.Tama?evi?ius, A., Tama?evi?iūt?, E., Mykolaitis, S., Bumelien?, R., Kirvaitis, G., Stoop, R.: Neural spike suppression by adaptive control of an unknown steady state. In Artificial Neural Networks ICANN 2009. Lecture Notes in Computer Science, vol. 5768, pp. 618-27 (2009)
    23.Kazantsev, V.B., Nekorkin, V.I., Binczak, S., Jacquir, S., Bilbault, J.M.: Spiking dynamics of interacting oscillatory neurons. Chaos 15, 023103-23120 (2005)MathSciNet CrossRef
    24.Binczak, S., Jacquir, S., Bilbault, J.M., Kazantsev, V.B., Nekorkin, V.I.: Experimental study of electrical FitzHugh Nagumo neurons with modified excitability. Neural Netw. 19, 684-93 (2006)CrossRef MATH
    25.Nekorkin, V.I., Shapin, D.S., Dmitrichev, A.S., Kazantsev, V.B., Binczak, S., Bilbault, J.M.: Heteroclinic contours and self-replicated solitary waves in a reaction diffusion lattice with complex threshold excitation. Phys. D 237, 2463-475 (2008)MathSciNet CrossRef MATH
  • 作者单位:Aurélien Serge Tchakoutio Nguetcho (1)
    Stéphane Binczak (2)
    Victor Borisovich Kazantsev (3)
    Sabir Jacquir (2)
    Jean-Marie Bilbault (2)

    1. Laboratoire Interdisciplinaire des Sciences et Sciences Appliquées du Sahel (LISSAS), Département de Physique, Faculté des Sciences, Université de Maroua, BP 46, Maroua, Cameroun
    2. Laboratoire LE2I UMR 6306, CNRS, Arts et Métiers, Univ. Bourgogne Franche-Comté, 2100, Dijon, France
    3. Neuroscience Center, Nizhny Novgorod State University, 23 Gagarin Ave., 603950, Nizhny Novgorod, Russia
  • 刊物类别:Engineering
  • 刊物主题:Vibration, Dynamical Systems and Control
    Mechanics
    Mechanical Engineering
    Automotive and Aerospace Engineering and Traffic
  • 出版者:Springer Netherlands
  • ISSN:1573-269X
文摘
Using an analog electrical FitzHugh–Nagumo neuron including complex threshold excitation (CTE) properties, we analyze its spiking responses on pulse stimulation. The system is subjected to external pulse stimulus and can generate nonlinear integrate-and-fire and resonant responses which are typical for excitable neuronal cells. Following earlier theoretical predictions, we found that for certain parameters range, there is a possibility to trigger a spiking sequence with a finite number of spikes in response to a single short stimulus pulse. Hence, active transformation of N incoming pulses to M outgoing spikes is possible. We also show that the nonlinear electrical circuit with the CTE feature can be effectively synchronized by a periodic pulse train with 1 to M spike frequency ratio. Keywords FitzHugh–Nagumo model Phase portrait Nonlinear electrical circuit Electrical neuron Electrical pulse stimulation Interspike interval Spikes response Transmission coefficient

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700